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Sufficient conditions for concluding surrogacy based on observed data
Author(s) -
Wu Zhenguo,
He Ping,
Geng Zhi
Publication year - 2011
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4273
Subject(s) - equivalence (formal languages) , surrogate endpoint , econometrics , computer science , proportional hazards model , hazard , statistics , mathematics , medicine , discrete mathematics , chemistry , organic chemistry , radiology
In this paper, we show that Prentice's criteria for surrogates can be strengthened to remedy some weaknesses of the criteria, and we also propose some sufficient conditions under which the treatment effects on a surrogate and on the true endpoint have qualitative implication and equivalence relations. With or without requiring Prentice's criteria, we discuss what conditions are required to qualitatively assess the causal effect of treatment on an unobserved endpoint in terms of an observed surrogate. Rather than a correlation between a surrogate and an endpoint, we require stricter measurements of association for the qualitative assessment. Further we show that these conditions can be satisfied by commonly used models, such as generalized linear models and Cox's proportional hazard models. Copyright © 2011 John Wiley & Sons, Ltd.